The CMOS programmable non-linear function synthesizer utilizes CMOS current-mode electronics to provide synthesis of arbitrary analog functions. The circuit approximates a seventh-order Taylor series expansion to synthesize an arbitrary nonlinear function. Each term of the Taylor series expansion is realized using a current-mode basic building block, and the output weighted currents of these basic building blocks are algebraically added in addition to a DC current, if needed. The CMOS current mode electronic circuit can be easily integrated, extended to include higher order terms of the Taylor series, and programmed to generate arbitrary nonlinear functions.